Nuprl Lemma : det_ideal_ap_elim
13,42
postcript
pdf
r
:CRng,
a
:Ideal(
r
){i},
d
:detach_fun(|
r
|;
a
).
(
w
:|
r
|. SqStable(
a
(
w
)))
(
v
:|
r
|. (
(
d
(
v
)))
(
a
(
v
)))
latex
Up
rings
1
Definitions of Statement
Rng
,
CRng
,
Ideal(
r
){i}
Definitions
,
t
T
,
P
Q
,
x
:
A
.
B
(
x
)
,
P
&
Q
,
P
Q
,
P
Q
,
True
,
T
,
Rng
,
Ideal(
r
){i}
,
CRng
,
detach_fun(
T
;
A
)
,
SqStable(
P
)
,
{
T
}
Lemmas
crng
wf
,
ideal
wf
,
detach
fun
wf
,
sq
stable
wf
,
rng
car
wf
,
squash
elim
,
squash
wf
,
assert
wf
,
iff
functionality
wrt
iff
,
sq
stable
squash
,
decidable
assert
,
sq
stable
from
decidable
,
sq
stable
iff
,
detach
fun
properties
,
iff
symmetry
origin